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The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ?

The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ? Correct Answer 1200 ft

Let the rear wheel make x revolutions
Then, the front wheel makes (x + 5) revolutions
(x + 5) × 40 = 48x
⇒ 8x = 200
⇒ x = 25
Distance travelled by the cart :
= (48 × 25) ft
= 1200 ft

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